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Finding the Third Proportional to 441,346.50 and 681,981

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Solution

The third proportional to 441,346.50 and 681,981 is: 1,053,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,346.50 : 681,981 = 681,981 : x
  2. Step 2: Convert to fraction form
    441,346.50/681,981 = 681,981/x
  3. Step 3: Cross multiply
    441,346.50x = 681,981 × 681,981
  4. Step 4: Simplify right side
    441,346.50x = 465,098,084,361
  5. Step 5: Solve for x
    x = 465,098,084,361/441,346.50
  6. Step 6: Final answer
    x = 1,053,816.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.